Q14:: Let y'= 2x - y y(0) = 1, h = 0.1, the value u4 by Picard method is (A) 1/² 1+³7²+x³+ (B)1-³7²+x+x³ + (0) 1+ − x −1²+10 3x² x3 x5 2 2 2 3 60 5 (D) 1 -3²+- (6)1+³7²-x-+-(F) not one of the previous 2 12 60 2 8 60

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Q: Q6 Find Laplace transforms of the following functions: if 0<t<2 (a) f(t)= cos 3t 4 if 2 <t You may…

A: cos(3t)= cos(3t-6+6) Hence, cos(3t)=cos( 3(t-2)+6)

Q: ROBLEM NO. 12 1 the principal value of ln [(1-j)6/3] -) 2.08+4.71j B)-2.08-4.71j C) -2.08+4.71j D)…

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Q: Calculate the Cauchy principal value. COS V.P. Lx (acos #dz, (a > 0). -dx, (a²-x²)

A: We use sum of residues to find Cauchy principal value.

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Q: E. Using congruence's, solve each Linear Diophantine Equation 1. 3x + 4y = 5 2. 15x +21y = 39 3. 48x…

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Q: 12. 13. 14. 15. 16. Find the gradient of the line joining the points A[5, -7) and B- 3,01 Find the…

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Q: 3. Evaluate Wo 62² dV where G is bounded by r + 2y + 4z = 8 in the first octant.

A: To Evaluate triple integration ∫∫∫G6z2dV we know that dV=dxdydz=dydzdx=dzdydx=dzdxdy=dydxdz=dxdzdy…

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Q: Evaluate the integral. dx 2 (a² + x²)3/21 a>

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Q: Factor Groups Consider the factor group (Z₁×Z)/((0,2)). (a) What is the order of the factor group?…

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Q: X 0 0.4 0.8 1.2 1.8 2.2 2.6 f(x) 2.0 2.1465 2.5 2.6 2.0 0.8 0.4 a) Numerically calculate the…

A: Let us use any numerical method and find the required values Then we will use calculate at initial…

Q: 3. Evaluate III 62² dV where G is bounded by x + 2y + 4z = 8 in the first octant.

A: We need to evaluate the given triple integration. We will use the order of integration dV=dxdydz

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Q: Given r(t)= , find the tangential and normal components of acceleration, for t>0.

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Q: 2. Calculate the centroid of the thin plate R which bounded by z = 1, y = 0 and, 2² + y² = 4.

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Q: Q4: Show that: 1-If f is analytic and have zero of order n at zo, then f'(z)/f(z) has a simple pole…

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Q: Calculate the Cauchy principal value. 8 COS X V.P. Leta -dx, (a > 0). (a²-x²)

A: We solve by using residues.

Q: 3. Evaluate 62² dV where G is bounded by x + 2y + 4z = 8 in the first octant.

A: We need to Evaluate triple integration ∫∫∫G6z2dV here we know…

Q: Use expansion method 4×4

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Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x) |x-1| In its domain. a. What…

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Q: -1 2 1 -2 1 1 1 Let P = and P = B-A -1 -1 -2 2 C-A -1 2 2 4 The change of basis matrix P would be:…

A: I have calculated Inverse separately below

Q: Let z₁ = 5+2i, Z₂=1+3i, z3=2-3i, Z4--4-7i. (a) Plot the complex numbers z₁, Z2, Z3, Z4 on an Argand…

A: Solution

Q: 3x + 2y + 7z = 4 2x + 3y + z = 5 3x + 4y + z = 7

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Q: Q1:(a) let (S, d)be a metric subspace of a metric space (M, d) and let AS S. Then A is open in S if…

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Q: 2. Calculate the centroid of the thin plate R which bounded by r = 1, y = 0 and, 2² + y² = 4. CCC

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Q: Find a possible formula for the trigonometric function whose values are in the following table. X 0…

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Q: Let M(R) denote the set of all mappings from R to R. For mappings f, g: R → R, define pointwise…

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Q: 83. Find the regions where sinx ≤ x. ( ६

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Q: 47 87 45 19 of the parent pea plants involved. Tal enotypes s dominant to white (w)

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Q: 6. Which of the following is the homogeneous differential equation? A. (3x-5)dx-(4y-1)dy B.…

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Q: Investigate if the integral - ral f 1-x is convergent or not. Justify your answer.

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